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Finding the Fourth Proportional to 7,835.95, 10,814.03 and 4,299.16

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Solution

The fourth proportional to 7,835.95, 10,814.03 and 4,299.16 is: 5,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.95 : 10,814.03 = 4,299.16 : x
  2. Step 2: Convert to fraction form
    7,835.95/10,814.03 = 4,299.16/x
  3. Step 3: Cross multiply
    7,835.95x = 10,814.03 × 4,299.16
  4. Step 4: Simplify right side
    7,835.95x = 46,491,290.80
  5. Step 5: Solve for x
    x = 46,491,290.80/7,835.95
  6. Step 6: Final answer
    x = 5,933.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.